Results 91 to 100 of about 169,397,941 (109)
Point Location in Arrangements of Hyperplanes [PDF]
We present a solution to the point location problem in arrangements of hyperplanes in Ed with running time O(d5 log n) and space O(nd+κ) for arbitrary κ > 0, where n is the number of hyperplanes. The main result is the d5 factor in the expression for the
Meiser, S.
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q-algebras and arrangements of hyperplanes [PDF]
Varchenko's approach to quantum groups, from the theory of arrangements of hyperplanes, can be usefully applied to q-algebras in general, of which quantum groups and quantum (super) Kac–Moody algebras are special cases.
Christian Frønsdal
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Cells with many facets in arrangements of hyperplanes [PDF]
For every n, d, n⩾2d+1⩾5, we prove the existence of an arrangement H of n hyperplanes in the real projective space Pd, such that exactly ∑d−2i=0(n−1i cells of H are bounded by every hyperplane of H.
Jean-Pierre Roudneff
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A lower bound on the number of cells in arrangements of hyperplanes [PDF]
Lower bounds on the numbers of k-cells in arrangements of hyperplanes are found.
Shannon, Robert W
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Plus-one Generated and Next to Free Arrangements of Hyperplanes
International Mathematics Research Notices, 2021Takuro Abe
exaly
ARRANGEMENTS OF HYPERPLANES IN ℝ3AND THEIR FREENESS
Honam Mathematical Journal, 2009Ki-Suk Lee
exaly
Combinatorial simpliciality of arrangements of hyperplanes
Beitrage Zur Algebra Und Geometrie, 2014Michael Cuntz
exaly
Chambers of arrangements of hyperplanes and Arrow's impossibility theorem
Advances in Mathematics, 2007Hiroaki Terao
exaly
Constructing Arrangements of Lines and Hyperplanes with Applications
SIAM Journal on Computing, 1986Herbert Edelsbrunner, J O'Rourke
exaly
Free arrangements of hyperplanes and supersolvable lattices
Advances in Mathematics, 1984Hiroaki Terao
exaly

